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Finding the Third Proportional to 62,457 and 90,281.50

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Solution

The third proportional to 62,457 and 90,281.50 is: 130,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,457 : 90,281.50 = 90,281.50 : x
  2. Step 2: Convert to fraction form
    62,457/90,281.50 = 90,281.50/x
  3. Step 3: Cross multiply
    62,457x = 90,281.50 × 90,281.50
  4. Step 4: Simplify right side
    62,457x = 8,150,749,242.25
  5. Step 5: Solve for x
    x = 8,150,749,242.25/62,457
  6. Step 6: Final answer
    x = 130,501.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.